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Two sticks have lengths a and b with a = b. Meena cuts a piece of length c from each stick, where the same c is removed from both.
Using a Euclidean axiom, what is the relation between the two remaining pieces?

Class 9Euclid's AxiomsGeometry — Foundations
  • Aa - c = b - c (remainders are equal)
  • Ba - c > b - c
  • Ca - c < b - c
  • D

Step-by-Step Solution

If equals (a = b) have equals (c) subtracted, the remainders are equal: a - c = b - c.
Answer: A) a - c = b - c (remainders are equal)

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